The Easyblog extension only supports AMP for the blog entry page.

I am not sure which 3rd party plugin to convert the blog listing page to AMP on your site yet since you already blocked that user login account access.

I think you have to report this to the plugin provider which converts the blog listing page to AMP and see how it goes.

By the way, regarding the Easyblog default AMP support, it doesn't render any module on the AMP page when you view the blog entry AMP page (screenshot: https://monosnap.com/file/BtIyKG74OXsw1UaAq5mYEcs5Y4wwpT ).